Abstract

We present two new classes of dyonic anti--de Sitter black hole solutions of four-dimensional maximal $\mathcal{N}=8$, SO(8) gauged supergravity. They are (1) static black holes of $\mathcal{N}=2$, $\mathrm{U}(1{)}^{4}$ gauged supergravity with four electric and four magnetic charges, with spherical, planar or hyperbolic horizons; and (2) rotating black holes of $\mathcal{N}=2$, $\mathrm{U}(1{)}^{2}$ gauged supergravity with two electric and two magnetic charges. We study their thermodynamics, and point out that the formulation of a consistent thermodynamics for dyonic anti--de Sitter black holes is dependent on the existence of boundary conditions for the gauge fields. We identify several distinct classes of boundary conditions for gauge fields in $\mathrm{U}(1{)}^{4}$ supergravity. We study a general family of metrics containing the rotating solutions, and find Killing-Yano tensors with torsion in two conformal frames, which underlie separability.

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